Pith Number

pith:42YCIKHE

pith:2019:42YCIKHETRPFFZHDN6ZPCGTS4T

not attested not anchored not stored refs pending

$\text{TM}_1$ neutrino mixing with $\sin \theta_{13}=\frac{1}{\sqrt{3}}\sin \frac{\pi}{12}$

R Krishnan

arxiv:1912.02451 v3 · 2019-12-05 · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{42YCIKHETRPFFZHDN6ZPCGTS4T}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T05:55:55.268024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6b02428e49c5e52e4e36fb2f11a72e4fbde67c08b9a06f4e244a2433fb66984

Aliases

arxiv: 1912.02451 · arxiv_version: 1912.02451v3 · doi: 10.48550/arxiv.1912.02451 · pith_short_12: 42YCIKHETRPF · pith_short_16: 42YCIKHETRPFFZHD · pith_short_8: 42YCIKHE

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/42YCIKHETRPFFZHDN6ZPCGTS4T \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e6b02428e49c5e52e4e36fb2f11a72e4fbde67c08b9a06f4e244a2433fb66984

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55247054a83c206d5bb60cffba98d18b5fab12e8114b440e09709b492909dc3d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2019-12-05T09:21:57Z",
    "title_canon_sha256": "4142175b59a141a8465f368c9197d9f1f60b2ae1aa69f659d6550bf86ac19758"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.02451",
    "kind": "arxiv",
    "version": 3
  }
}